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3 years ago

Triangle PQR has two known interior angles of 24°, and 100°.

Mathematics

2 answers:

Anna [14]3 years ago

7 0

Answer:

D. The triangles are similar.

Step-by-step explanation:

Two triangles are similar if all 3 angles of one triangle are congruent to all 3 angles of the other triangle.

In triangle PQR, the two known angles are 24° and 100°. Since the sum of the measures of the angles of a triangle is always 180°, this makes the missing angle

180-(24+100) = 180-124 = 56°

In triangle RST, the two known angles are 24° and 56°. This makes the missing angle

180-(24+56) = 180-80 = 100°

This means all 3 angles in PQR are congruent to all 3 angles in RST; this means the triangles are similar.

Tamiku [17]3 years ago

3 0

180-24=5
180-56=34
Both are equal
D

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Jane needs $20 to buy her radio. She has saved $15.

KonstantinChe [14]

Answer:

the answer is d

Step-by-step explanation:

$\frac{15}{20} \times 100 = 75$

7 0

2 years ago

Read 2 more answers

Your class raised money by selling hot dogs and hamburgers. Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold

LenKa [72]

Answer:

Number of hot dogs sold = 56

Number of hamburgers sold = 52

Step-by-step explanation:

Let

Number of hot dogs sold = x

Number of hamburgers sold = y

We can make equation from given equations:

$0.50x+1y=80$ (Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold for $1 (one dollar). The total money raised by your class was $80. )

$x+y=108$ (Together you sold 108 hot dogs and hamburgers.)

Now we cam solve these system of equations to find value of x and y

$0.50x+y=80--eq(1)\\x+y=108--eq(2)$

Subtract both equations to get value of x:

$0.50x+y=80\\x\:\:\:\:\:\:\:\: + y=108\\-\:\:\:\:\:\:\:\: -\:\:\:\:\:\: -\\---------\\-0.5x=-28\\x=\frac{-28}{-0.5}\\x=56$

We get value of x = 56

Now putting value of x in equation 2 to find value of y

$x+y=108\\56+y=108\\y=108-56\\y=52$

So, we get y = 52

Therefore,

Number of hot dogs sold = x = 56

Number of hamburgers sold = y = 52

6 0

2 years ago

I need this answered Fast if possible. A car is traveling on a small highway and is either going 55 miles per hour or 35 miles

Alex787 [66]

a. It spends about 2.045 hours going 55 miles per hour

b. It spends 1 hour going 35 miles per hour

c. The trip would take about 3.64 hours

Step-by-step explanation:

A car is traveling on a small highway and is either going 55 miles per hour or 35 miles per hour, depending on the speed limits, until it reaches its destination 200 miles away

x represents the amount of time in hours that the car is going 55 miles per hour
y represents the amount of time in hours that the car is going 35 miles per hour
The equation that describing the relationship is 55x + 35y = 200

We need to find:

a. How long does it spend going 55 miles per hour, if the car spends 2.5 hours going 35 miles per hour on the trip

∵ 55x + 35y = 200

∵ The car spends 2.5 hours going 35 miles per hour on the trip

∵ y represents the amount of time that the car going 35 mi./h

∴ y = 2.5

- Substitute the value of y in the equation to find the value of x

∴ 55x + 35(2.5) = 200

∴ 55x + 87.5 = 200

- Subtract 87.5 from both sides

∴ 55x = 112.5

- Divide both sides by 55

∴ x = 2.045 hours

It spends about 2.045 hours going 55 miles per hour

b.how long does it spend going 35 miles per hour, if the car spends 3 hours going 55 miles per hour on the trip

∵ 55x + 35y = 200

∵ The car spends 3 hours going 55 miles per hour on the trip

∵ x represents the amount of time that the car going 55 mi./h

∴ x = 3

- Substitute the value of y in the equation to find the value of x

∴ 55(3) + 35y = 200

∴ 165 + 35y = 200

- Subtract 165 from both sides

∴ 35y = 35

- Divide both sides by 35

∴ y = 1 hour

It spends 1 hour going 35 miles per hour

c. How long would the trip take, if the car spends no time going 35 miles per hour

∵ 55x + 35y = 200

∵ The car spends no time going 35 miles per hour

∴ y = 0

- Substitute the value of y in the equation to find the value of x

∴ 55x + 35(0) = 200

∴ 55x = 200

- Divide both sides by 55

∴ x = 3.63 hours

The trip would take about 3.64 hours

Learn more:

You can learn more about the equations in brainly.com/question/4097107

#LearnwithBrainly

5 0

3 years ago

Math 2 Homework Mod 2.1 (Day 2) Absolute Value Functions

Semenov [28]

The descriptions of the transformations are:

Vertex: (-6, 0)
Stretch factor: 2
Domain: set of all real numbers
Range: set of real numbers greater than or equal to 0

<h3>How to describe transformations, graph, and state domain & range using any notation?</h3>

The function is given as:

f(x) = -2|x + 6|

The above function is an absolute value function, and an absolute value function is represented as:

f(x) = a|x - h| + k

Where

Vertex = (h, k)

Scale factor = a

So, we have:

a = -2

(h, k) = (-6, 0)

There is no restriction to the input values.

So, the domain is the set of all real numbers

The y value in (h, k) = (-6, 0) is 0

i.e.

y = 0

Because the factor is negative (-2), then the vertex is a minimum

So, the range is all set of real numbers greater than or equal to 0

Hence, the descriptions of the transformations are:

Vertex: (-6, 0)
Stretch factor: 2
Domain: set of all real numbers
Range: set of real numbers greater than or equal to 0

Read more about absolute value function at

brainly.com/question/3381225

#SPJ1

4 0

1 year ago

Reflect the given preimage over y=−1 followed by y=−7. Find the new coordinates. What one transformation is this double reflecti

fenix001 [56]

Answer:

Reflecting over y = -1 line:

A'(8, -10)

B'(10, -8)

C'(2, -4)

Reflecting over y = -7 line:

A''(8, -4)

B'(10, -6)

C''(2, -10)

Step-by-step explanation:

Reflect the given preimage over y=−1 followed

by y=−7. Find the new coordinates. What one transformation is this double reflection the same as? (Note: when you are reflecting over a y= line, the x-values of the preimage will remain the same and you will be changing the y-values)

The coordinates of the preimage are:

A(8,8)

B(10,6)

C(2,2)

Answer: Reflecting over y = -1:

If a point is reflected over a y line, the x values remain the same while the y values change.

For point A(8, 8): The y distance between the y = - 1 line and point A is 9 units. (8- (-1)). If point A is reflected, the y value would be 9 units below the y = -1 line, i.e the new y coordinate would be at -10 (-1-9)

The new coordinate is at A'(8, -10)

For point B(10, 6): The y distance between the y = - 1 line and point B is 7 units. (6- (-1)). If point B is reflected, the y value would be 7 units below the y = -1 line, i.e the new y coordinate would be at -8 (-1-7)

The new coordinate is at B'(10, -8)

For point C(2, 2): The y distance between the y = - 1 line and point C is 3 units. (2- (-1)). If point C is reflected, the y value would be 3 units below the y = -1 line, i.e the new y coordinate would be at -4 (-1-3)

The new coordinate is at C'(2, -4)

Reflecting over y = -7 line:

For point A'(8, -10): The y distance between the y = - 7 line and point A' is 3 units. (-7- (-10)). If point A' is reflected, the y value would be 3 units above the y = -7 line, i.e the new y coordinate would be at -4 (-7+3)

The new coordinate is at A''(8, -4)

For point B'(10, -8): The y distance between the y = - 7 line and point B' is 1 units. (-7- (-8)). If point B' is reflected, the y value would be 1 units above the y = -7 line, i.e the new y coordinate would be at -6 (-7 + 1)

The new coordinate is at B'(10, -6)

For point C'(2, -4): The y distance between the y = - 7 line and point C' is 3 units. (-4- (-7)). If point C' is reflected, the y value would be 3 units below the y = -7 line, i.e the new y coordinate would be at -10 (-7-3)

The new coordinate is at C''(2, -10)

We can also see that h= −7−(−1)=−6. We know that two reflections is the same as a translation of 2h units down. So 2(−6) is a translation of −12 units down.

5 0

3 years ago